If f(3x + 4)=5x + 8, find f '(x).with explanation plz
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Answer:
x = -2
Step-by-step explanation:
1) In the first step we will remove the brackets = 3x+4 = 5x+8
2) In the next step we will move +4 to the right side and +5x to the left side. This causes the signs to change from + to -. Therefore +4 becomes -4 and +5x becomes -5x.
3) 3x - 5x = 8 - 4
4) Now we will simplify it. 3x - 5x = -2x and 8 - 4 = +4
5) -2x = 4
6) -2 is moved to the right side. Before it was supposed to be multiplied x . now it will be divided with 4 due to side change.
7) x = 4/-2
8) Therefore x = -2
Sum:
3x + 4 = 5x + 8
3x - 5x = 8 - 4
-2x = 4
x = 4/-2
x = -2
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